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3 years ago

Can someone identify the alternate interior angle? Please refer to image below.

Mathematics

2 answers:

fenix001 [56]3 years ago

5 0

Answer:

(police, ice cream) and (deli, bakery)

Step-by-step explanation:

The parallel lines (horizontal) intersect at points marked 1 and 2. "Interior" angles are angles between those intersections. "Alternate" angles are on opposite sides of the street (at different intersections).

Hence pairs of "alternate interior" angles are ...

(Police, Ice Cream)

(Deli, Bakery)

quester [9]3 years ago

4 0

Answer:

Police and icecream are alternate interior angles. So is the bakery and deli.

Step-by-step explanation:

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The radius of a semicircle is 4 kilometers. What is the semicircle's diameter? I need this please

sergeinik [125]

Answer:

diameter = 8 km

Step-by-step explanation:

the diameter is equal to 2 times the radius

diameter = 2r

diameter = 2 • (4 km)

diameter = 8 km

7 0

2 years ago

senior citizens receive a 10% discount off the price of a regular dinner special at the dinner bell restaurant. if the cost for

Inessa05 [86]

You can do 1st $12.60 divided by 100 is 0.126 then you do 0.126x10= 1.26 then you add the special price which is $12.60 plus $1.26= $13.86 that is the original price for the dinner.

8 0

3 years ago

PLEASE HELP ASAP!!!!!!!!!!!

marusya05 [52]

Answer:(1) The correct option is b. (2) The correct option is c.

Explanation:

(1)

It is given that the △ABD≅△FEC.

So by (CPCTC) corresponding parts of congruent triangles are congruent.

$\angle CFE=\angle DAB$

It is given that the angle DAB is 63 degree.

$\angle CFE=63^{\circ}$

Therefore, the correct option is b.

(2)

It is given that the △ABD≅△FEC.

So by (CPCTC) corresponding parts of congruent triangles are congruent.

$BD=EC$

$BD=CD+DE$

$BD=8+10$

$BD=18$

Therefore, the correct option is c.

4 0

2 years ago

Read 2 more answers

A certain test preparation course is designed to help students improve their scores on the USMLE exam. A mock exam is given at t

e-lub [12.9K]

Answer:

$17.67-2.92\frac{2.517}{\sqrt{3}}=13.427$

$17.67+2.92\frac{2.517}{\sqrt{3}}=21.913$

So on this case the 90% confidence interval would be given by (13.427;21.913)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the mean and the sample deviation we can use the following formulas:

$\bar X= \sum_{i=1}^n \frac{x_i}{n}$ (2)

$s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}}$ (3)

The mean calculated for this case is $\bar X=17.67$

The sample deviation calculated $s=2.517$

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=3-1=2$

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.05,2)".And we see that $t_{\alpha/2}=2.92$